Question 1 :
A rectangle field is 50 m x 40.5 m. It has 2 crossroads through its center, running parallel to its sides. The width of the longer and the shorter roads are 1.8 m and 2.5 m. Find the total expense involved in cementing the road at ₹24 per m <sup> 2 </sup> and laying grass in the remaining part at ₹1.60 per m <sup> 2 </sup> ?
Question 2 :
The length of the diagonal of a square is 32 cm. What is the perimeter? (Take √2=1.41)
Question 3 :
A road of 1 m wide is laid around a rectangle garden of length 10 m and width 5 m. What is the cost of cementing the road at ₹200 per m<sup>2 </sup> ?
Question 4 :
What is its height of a Cylinder if the Curved Surface Area is 1760 <strong> m <sup> 2 </sup> </strong> and its base radius is 14 cm?
Question 5 :
The length of a rectangle is 12 m and its diagonal is 15 m. What is the area of the rectangle?
Question 6 :
The length of a hall is 4/3 times its breadth and the area of the hall is 300 m<sup>2 </sup> . What is the difference between the length and breadth?
Question 7 :
If the perimeter of a semi-circle is 18 cm what is the area?
Question 8 :
The length of the diagonal of a rhombus is 80% of the length of the other diagonal. Then, the area of the rhombus is how many times the square of the length of the longer diagonal?
Question 9 :
A rectangle lawn 60 m x 40 m has two roads each 5 m wide running in the middle of it, one parallel to the length and another parallel to the breadth. What is the cost of traveling the road at ₹60 per sq meter?
Question 10 :
If the Areas of the three adjacent faces of a cuboidal box are 120 cm <sup> 2 </sup> , 72 cm <sup> 2 </sup> , 60 cm <sup> 2 </sup> . What is the Volume of the Box?
Question 11 :
The length of the longest pole that can be placed on the floor of a room is 10m and the length of the longest pole that can be placed in a room is 10 <strong> √ </strong> 2 m. What is the height of the room?
Question 13 :
What is the height of a Cylinder if the Total Surface Area is 660 cm <sup> 2 </sup> and the radius is 5 cm?
Question 14 :
If the perimeter and area of a square are numerically equal then, What is the length of its side?
Question 15 :
A square lawn is surrounded by a path 2.5 m wide. If the area of the path is 165 m <sup> 2 </sup> . What is the area of the lawn?
Question 17 :
The cross-section of a canal is a trapezium in shape. If the canal is 10 meters wide at the top and 6 meters wide at the bottom and the area of the cross-section is 640 m <sup> 2 </sup> . What is the length of the canal?
Question 19 :
A roller of diameter 84 cm and length of 120 cm takes 500 complete revolutions to level a playground, what will be the cost of leveling it at ₹4.50 per m <sup> 2 </sup> ?
Question 21 :
The areas of three adjacent faces of a cuboid are {tex} x , y {/tex} and {tex} z {/tex} units. If the volume is {tex} \mathrm { V } {/tex} cubic units, thent {tex} \mathrm { V } ^ { 2 } = x y z {/tex}
Question 22 :
The perimeter of a square grassy plot is 122 m. What is the cost of cutting the grass at ₹4 per sq meter?
Question 23 :
If the ratio of areas of two squares is 9 : 1, What is the ratio of their perimeters?
Question 25 :
What is the area of a trapezium ABCD whose parallel sides are AB=19 cm, DC=9 cm, and the non-parallel sides are BC=8 cm and DA=6 cm?
Question 26 :
The measure of the surface enclosed by a plane figure is called its ______?
Question 27 :
A rectangular grassy plot 110 m long and 65 m wide has a gravel path 3 m wide all round it on the inside. Find the cost of leveling the path at 680 paise per sq meter?
Question 28 :
What is the Total Surface Area of a Cylinder of height: 32 cm and radius: 10.5 cm?
Question 30 :
A square field has an area of 6.25 acres. What is the cost of putting a fence around it at ₹32.50 per meter?
Question 31 :
The dimension of the floor of a rectangle hall is 4 m x 3 m. The floor of the hall is to be tiled fully with 8 cm x 6 cm rectangular tiles without breaking tiles to a smaller size, how many tiles required?
Question 32 :
ABCD is a square of side 4 cm. If E is a point in the interior of the square such that ΔCED is equilateral, then area of ΔACE is
Question 34 :
If the side of a square is doubled, What is the ratio of the area of the resulting square to that of the given square?
Question 35 :
What is the Surface Area of a Cube if its Volume is 2744 Cm <sup> 3 </sup> ?
Question 36 :
If the Volume of a Cylinder is numerically equal to its Curved Surface Area. What is the radius of the base?
Question 37 :
If the Curved Surface Area and Volume of a Cylindrical Pillar are 264 m <sup> 2 </sup> and 924 m <sup> 3 </sup> . What is the Diameter of the pillar?
Question 39 :
The area of a square field is one hectare. What is the cost of fencing it at ₹26.50 per meter?
Question 40 :
What is the number of Coins required, if one coin is 1.5 cm in diameter and 0.2 cm thick to be melted to form a Right Circular Cylinder of height 10 cm and diameter 4.5 cm?
Question 41 :
What is the length of the Longest Rod that can be placed in a room 30 m long, 24 m broad, and 18 m high?
Question 42 :
If two cubes each with an 8 cm edge are joined end to end, what is the Surface Area of the resulting Cuboid?
Question 43 :
The Total Surface Area of a Solid Cylinder is 462 cm <sup> 2 </sup> and its Curved Surface Area is one-third of its Total Surface Area. What is the Volume of the Cylinder?
Question 44 :
What should be the length of a rope by which a cow must be tethered in order that it may be able to gaze an area of 9856 m <sup> 2 </sup> ?
Question 45 :
What is the area of the rhombus if the length of whose diagonal are 25 cm and 16.8 cm?
Question 46 :
The perimeter of a plane figure is the ______ of its boundary.
Question 47 :
A Rectangular SandBox is 5 m wide and 2 m long. How many Cubic Metres of Sand is needed to fill the Box unto a Depth of 10 cm?
Question 48 :
If the Length, Breadth, and Height of a Cuboid are 2 m, 2 m, and 1 m. What is the Surface Area in m <sup> 2 </sup> ?
Question 49 :
What is the length of the longest pole that can be placed in the park if the park is 10 m long and 8 m broad?
Question 50 :
If each side of a Cube is doubled. What is its Volume?
